What is the relationship between kg wt and Newtons through dimensional analysis?

[sphyics]

i know its a unit for force... I'm intrigued by the relation 1kgwt=9.8N?

by dimensional analysis

L.H.s [M²L¹T^-2 {since wt=kgm/s²}
R.H.S [M¹L¹T^-2
i understand I'm wrong somewhere, but I'm not able to figure it out, so pls help me :)

Also how to get the relation between both.( think 9.8 is the contribution of 'g')

 

[D H]

i know its a unit for force... I'm intrigued by the relation 1kgwt=9.8N?

by dimensional analysis

L.H.s [M²L¹T^-2 {since wt=kgm/s²}

You interpreted kg wt as mass*weight. A kilogram weight is a unit of force. Specifically, it is the force needed to make a mass of 1 kg accelerate by 9.80665 m/s².

 

[sphyics]

You interpreted kg wt as mass*weight. A kilogram weight is a unit of force. Specifically, it is the force needed to make a mass of 1 kg accelerate by 9.80665 m/s².

yes

and how to get the relation 1kgwt=9.8N mathematically.

 

[D H]

You can't derive it. The kilogram-force (sometimes called the kilogram-wt) is defined as the force needed to make a one kilogram of mass accelerate by 9.80665 m/s².

 

[jack action]

how to get the relation 1kgwt=9.8N mathematically.

1 kgwt means the "weight of a mass of 1 kg on earth". So:

W = ma = (1 kg)(9.81 m/s²) = 9.81 N = 1 kgwt

kgwt is an arbitrary defined unit for force, just like 1 lb = 4.448 N

 

[sphyics]

1 kgwt means the "weight of a mass of 1 kg on earth". So:

W = ma = (1 kg)(9.81 m/s²) = 9.81 N = 1 kgwt

kgwt is an arbitrary defined unit for force, just like 1 lb = 4.448 N

Thanks for ur explanation now i understand